761257995001 has 9 divisors (see below), whose sum is σ = 885552119301. Its totient is φ = 652501617852.

The previous prime is 761257994983. The next prime is 761257995013. The reversal of 761257995001 is 100599752167.

The square root of 761257995001 is 872501.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 761257995001 - 2⁷ = 761257994873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 761257995001.

It is not an unprimeable number, because it can be changed into a prime (761257990001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6045186 + ... + 6169828.

Almost surely, 2^761257995001 is an apocalyptic number.

761257995001 is the 872501-st square number.

761257995001 is the 436251-st centered octagonal number.

It is an amenable number.

761257995001 is a deficient number, since it is larger than the sum of its proper divisors (124294124300).

761257995001 is an frugal number, since it uses more digits than its factorization.

761257995001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249300 (or 124650 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 52.

The spelling of 761257995001 in words is "seven hundred sixty-one billion, two hundred fifty-seven million, nine hundred ninety-five thousand, one".